Radiative flow of non Newtonian nanofluids within inclined porous enclosures with time fractional derivative

Radiative flow of non Newtonian nanofluids within inclined porous enclosures with time fractional derivative

Abstract An unsteady convection-radiation interaction flow of power-law non-Newtonian nanofluids using the time-fractional derivative is examined. The flow domain is an enclosure that has a free surface located at the top boundaries. Also, the geometry is filled by aluminum foam as a porous medium a...

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Autores principales: Anas A. M. Arafa, Z. Z. Rashed, Sameh E. Ahmed
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/56f2de0d5a1f4075a8fb40fdf81ef007
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spelling oai:doaj.org-article:56f2de0d5a1f4075a8fb40fdf81ef0072021-12-02T13:19:29ZRadiative flow of non Newtonian nanofluids within inclined porous enclosures with time fractional derivative10.1038/s41598-021-84848-92045-2322https://doaj.org/article/56f2de0d5a1f4075a8fb40fdf81ef0072021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-84848-9https://doaj.org/toc/2045-2322Abstract An unsteady convection-radiation interaction flow of power-law non-Newtonian nanofluids using the time-fractional derivative is examined. The flow domain is an enclosure that has a free surface located at the top boundaries. Also, the geometry is filled by aluminum foam as a porous medium and the overall thermal conductivity as well as the heat capacity are approximated using a linear combination of the properties of the fluid and porous phases. Additionally, the dynamic viscosity and thermal conductivity of the mixture are expressed as a function of velocity gradients with a fractional power. Marangoni influences are imposed to the top free surface while the bottom boundaries are partially heated. Steps of the solution methodology are consisting of approximation of the time fractional derivatives using the conformable definition, using the finite differences method to discretize the governing system and implementation the resulting algebraic system. The main outcomes reveled that as the fractional order approaches to one, the maximum values of the stream function, the bulk-averaged temperature and cup-mixing temperature are reduces, regardless values of the time.Anas A. M. ArafaZ. Z. RashedSameh E. AhmedNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-18 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Anas A. M. Arafa
Z. Z. Rashed
Sameh E. Ahmed
Radiative flow of non Newtonian nanofluids within inclined porous enclosures with time fractional derivative
description Abstract An unsteady convection-radiation interaction flow of power-law non-Newtonian nanofluids using the time-fractional derivative is examined. The flow domain is an enclosure that has a free surface located at the top boundaries. Also, the geometry is filled by aluminum foam as a porous medium and the overall thermal conductivity as well as the heat capacity are approximated using a linear combination of the properties of the fluid and porous phases. Additionally, the dynamic viscosity and thermal conductivity of the mixture are expressed as a function of velocity gradients with a fractional power. Marangoni influences are imposed to the top free surface while the bottom boundaries are partially heated. Steps of the solution methodology are consisting of approximation of the time fractional derivatives using the conformable definition, using the finite differences method to discretize the governing system and implementation the resulting algebraic system. The main outcomes reveled that as the fractional order approaches to one, the maximum values of the stream function, the bulk-averaged temperature and cup-mixing temperature are reduces, regardless values of the time.
format article
author Anas A. M. Arafa
Z. Z. Rashed
Sameh E. Ahmed
author_facet Anas A. M. Arafa
Z. Z. Rashed
Sameh E. Ahmed
author_sort Anas A. M. Arafa
title Radiative flow of non Newtonian nanofluids within inclined porous enclosures with time fractional derivative
title_short Radiative flow of non Newtonian nanofluids within inclined porous enclosures with time fractional derivative
title_full Radiative flow of non Newtonian nanofluids within inclined porous enclosures with time fractional derivative
title_fullStr Radiative flow of non Newtonian nanofluids within inclined porous enclosures with time fractional derivative
title_full_unstemmed Radiative flow of non Newtonian nanofluids within inclined porous enclosures with time fractional derivative
title_sort radiative flow of non newtonian nanofluids within inclined porous enclosures with time fractional derivative
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/56f2de0d5a1f4075a8fb40fdf81ef007
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AT zzrashed radiativeflowofnonnewtoniannanofluidswithininclinedporousenclosureswithtimefractionalderivative
AT sameheahmed radiativeflowofnonnewtoniannanofluidswithininclinedporousenclosureswithtimefractionalderivative
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